Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1 One And Two Dimensional Elliptic And Maxwell Problems (Chapman & Hall/crc Applied Mathematics & Nonlinear Science, 6, Band 1) - Hardcover

Buch 4 von 14: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Demkowicz, Leszek

 
9781584886716: Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1 One And Two Dimensional Elliptic And Maxwell Problems (Chapman & Hall/crc Applied Mathematics & Nonlinear Science, 6, Band 1)
Hardcover
ISBN 10: 1584886714 ISBN 13: 9781584886716
Verlag: Chapman and Hall/CRC, 2006

Inhaltsangabe

Offering the only existing finite element (FE) codes for Maxwell equations that support hp refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1. One- and Two-Dimensional Elliptic and Maxwell Problems presents 1D and 2D codes and automatic hp adaptivity. This self-contained source discusses the theory and implementation of hp-adaptive FE methods, focusing on projection-based interpolation and the corresponding hp-adaptive strategy.

The book is split into three parts, progressing from simple to more advanced problems. Part I examines the hp elements for the standard 1D model elliptic problem. The author develops the variational formulation and explains the construction of FE basis functions. The book then introduces the 1D code (1Dhp) and automatic hp adaptivity. This first part ends with a study of a 1D wave propagation problem. In Part II, the book proceeds to 2D elliptic problems, discussing two model problems that are slightly beyond standard-level examples: 3D axisymmetric antenna problem for Maxwell equations (example of a complex-valued, indefinite problem) and 2D elasticity (example of an elliptic system). The author concludes with a presentation on infinite elements - one of the possible tools to solve exterior boundary-value problems. Part III focuses on 2D time-harmonic Maxwell equations. The book explains the construction of the hp edge elements and the fundamental de Rham diagram for the whole family of hp discretizations. Next, it explores the differences between the elliptic and Maxwell versions of the 2D code, including automatic hp adaptivity. Finally, the book presents 2D exterior (radiation and scattering) problems and sample solutions using coupled hp finite/infinite elements.

In Computing with hp-ADAPTIVE FINITE ELEMENTS, the information provided, including many unpublished details, aids in solving elliptic and Maxwell problems.

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Über die Autorin bzw. den Autor

Leszek Demkowicz

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
1584886714
ISBN 13 
9781584886716
Einband
Gebundene Ausgabe
Anzahl der Seiten
426
Herausgeber
Chen Goong, Bridges Thomas J.
Kontakt zum Hersteller
CRC Press
https://www.routledge-ny.com

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